O-LevelMathematicsGeometry4024/12 · Oct/Nov 2021 · Q115 Marks
The scale drawing shows a garden with two trees P and Q. The scale is 1 centimetre represents 6 metres. [Figure X.X]
- (a)The garden has a path that is equidistant from P and Q. Using a straight edge and compasses only, construct the path.[2]
- (b)Yuna wants to plant a third tree in the garden that is • nearer to Q than to P and • more than 18 m from Q. Shade the regions where Yuna can plant the tree.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [2] Acceptable perpendicular bisector of PQ with correct arcs
- B1 for acceptable perpendicular bisector of PQ with no/incorrect arcs
- [3] Correct shaded regions
- FT their perpendicular bisector
- B2 for appropriate arc(s) of radius 3 cm, centre Q touching the sides of the quadrilateral or B1 for appropriate arc(s) radius ≠ 3 cm, centre Q touching the sides of the quadrilateral or for 3 cm seen
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